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Finding the Fourth Proportional to 106,099.98, 159,146.19 and 27,214.98

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Solution

The fourth proportional to 106,099.98, 159,146.19 and 27,214.98 is: 40,821.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,099.98 : 159,146.19 = 27,214.98 : x
  2. Step 2: Convert to fraction form
    106,099.98/159,146.19 = 27,214.98/x
  3. Step 3: Cross multiply
    106,099.98x = 159,146.19 × 27,214.98
  4. Step 4: Simplify right side
    106,099.98x = 4,331,160,377.93
  5. Step 5: Solve for x
    x = 4,331,160,377.93/106,099.98
  6. Step 6: Final answer
    x = 40,821.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.